6(x+2)+2x=2(x+6)+4x

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Solution for 6(x+2)+2x=2(x+6)+4x equation: 


Simplifying
6(x + 2) + 2x = 2(x + 6) + 4x

Reorder the terms:
6(2 + x) + 2x = 2(x + 6) + 4x
(2 * 6 + x * 6) + 2x = 2(x + 6) + 4x
(12 + 6x) + 2x = 2(x + 6) + 4x

Combine like terms: 6x + 2x = 8x
12 + 8x = 2(x + 6) + 4x

Reorder the terms:
12 + 8x = 2(6 + x) + 4x
12 + 8x = (6 * 2 + x * 2) + 4x
12 + 8x = (12 + 2x) + 4x

Combine like terms: 2x + 4x = 6x
12 + 8x = 12 + 6x

Add '-12' to each side of the equation.
12 + -12 + 8x = 12 + -12 + 6x

Combine like terms: 12 + -12 = 0
0 + 8x = 12 + -12 + 6x
8x = 12 + -12 + 6x

Combine like terms: 12 + -12 = 0
8x = 0 + 6x
8x = 6x

Solving
8x = 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
8x + -6x = 6x + -6x

Combine like terms: 8x + -6x = 2x
2x = 6x + -6x

Combine like terms: 6x + -6x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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